SOLUTION: The owner of a grocery store finds that she can sell 2216 gallons of milk each week at $2.71 per gallon and 2296 gallons of milk each week when she offers a sale price of $2.51 per

Question 941952: The owner of a grocery store finds that she can sell 2216 gallons of milk each week at $2.71 per gallon and 2296 gallons of milk each week when she offers a sale price of $2.51 per gallon. Assume that the number of gallons sold S is a linear function of the price p per gallon.
(a) Find a formula for the gallon sales, S(p), as a function of price p. (Don't include S in the answer box.)
(b) How many gallons would you expect to sell at $3.51 per gallon? (round to the nearest gallon)

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Identify the ordered pairs of price and gallons sold, (p,g). The two points are (2.71,2216) and (2.51,2296). You want to find the equation of the line with those two points, and that will define the function S(p). This task should be clear.

Using point-slope form, , and simplify and solve for S(p).

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Your professor had maybe used a different example, but the concept and skills would be the same. Your description specified the function S(p) to correspond the the vertical axis, and the p, price, to correspond with the horizontal axis. Usually, x is for the horizontal axis and y is the vertical axis; but they could be reversed, depending on which way you want to choose the function. Your example here is an application of Amount of Gallons Sold to depend on Price.
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